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Published on: November 15, 2013
Infrared Singularities of Multileg QCD Amplitudes with a Massive Parton at Three Loops
Ze Long Liu1, Nicolas Schalch1
1Institut für Theoretische Physik and AEC, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland.
This study details three-loop anomalous dimensions in Quantum Chromodynamics (QCD) for processes with massive and massless partons. It provides novel analytical expressions crucial for refining predictions in top quark physics at colliders.
Area of Science:
- High Energy Physics
- Quantum Chromodynamics (QCD)
- Particle Physics Phenomenology
Background:
- Quantum Chromodynamics (QCD) describes the strong force, governing interactions between quarks and gluons.
- Anomalous dimensions are crucial for understanding the behavior of scattering amplitudes at high energies, particularly concerning infrared singularities.
- Precise theoretical predictions for processes like single top and top quark pair production at hadron colliders are vital for experimental searches.
Purpose of the Study:
- To derive the three-loop anomalous dimensions that govern infrared singularities in QCD amplitudes involving one massive and multiple massless external partons.
- To analyze the contributions of tripole and quadrupole correlations involving a massive parton.
- To obtain the first-ever analytical expression for tripole correlations between one massive and two massless partons at three loops.
Main Methods:
- Development of a novel approach to regularize infrared divergences in the soft matrix element, avoiding extra scale dependence.
- Performing calculations in momentum space for enhanced analytical tractability.
- Detailed study of tripole and quadrupole correlations within the framework of QCD amplitudes.
Main Results:
- Derivation of the structure of three-loop anomalous dimensions for the specified parton configurations.
- Obtained the analytical expression for tripole correlations between one massive and two massless partons at three loops.
- A novel, scale-independent method for regularizing infrared divergences in the soft matrix element.
Conclusions:
- The derived anomalous dimensions and correlation expressions provide essential tools for theoretical physics.
- These results significantly improve the accuracy of theoretical predictions for single top and top quark pair productions.
- The novel regularization technique offers a more streamlined approach for future calculations in perturbative QCD.
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